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Finding the Fourth Proportional to 342.10, 513.21 and 196.02

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Solution

The fourth proportional to 342.10, 513.21 and 196.02 is: 294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.10 : 513.21 = 196.02 : x
  2. Step 2: Convert to fraction form
    342.10/513.21 = 196.02/x
  3. Step 3: Cross multiply
    342.10x = 513.21 × 196.02
  4. Step 4: Simplify right side
    342.10x = 100,596.86
  5. Step 5: Solve for x
    x = 100,596.86/342.10
  6. Step 6: Final answer
    x = 294.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.